which two data sets appear to be normally distributed?\na.\n|value|5|10|15|20|25|30|35|40|45|50|55|\n|frequen…

Explanation:

Step1: Recall normal - distribution property

A normal - distributed dataset has a frequency distribution that is symmetric about the mean, with most of the data concentrated in the middle and tapering off at the ends.

Step2: Analyze dataset A

The frequencies start small (10, 27), increase to a peak of 100 at value 30, and then decrease symmetrically (80, 55, 35, 30, 11). It shows a bell - shaped curve characteristic of a normal distribution.

Step3: Analyze dataset B

The frequencies 11, 17, 23, 29, 35, 41, 47, 53, 59, 65, 71 increase steadily without showing the symmetric bell - shaped pattern of a normal distribution.

Step4: Analyze dataset C

The frequencies start at 12, increase to 75 at value 30, and then decrease in a somewhat symmetric fashion (66, 52, 35, 26, 13). It has a bell - shaped appearance, characteristic of a normal distribution.

Step5: Analyze dataset D

The values are not in a regular sequence (21, 24, 27 are interspersed among 5 - 30 values), and the frequencies do not show the symmetric pattern of a normal distribution.

Answer:

A. value: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55; frequency: 10, 27, 40, 60, 75, 100, 80, 55, 35, 30, 11 C. value: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55; frequency: 12, 25, 32, 41, 68, 75, 66, 52, 35, 26, 13